# anaStruct 2D Frames and Trusses
[](https://github.com/ritchie46/anaStruct/actions/workflows/test.yaml)
[](http://anastruct.readthedocs.io/en/latest/?badge=latest)
Analyse 2D Frames and trusses for slender structures. Determine the bending moments, shear forces, axial forces and displacements.
## Installation
For the actively developed version:
```
$ pip install git+https://github.com/ritchie46/anaStruct.git
```
Or for a release:
```
$ pip install anastruct
```
## Read the docs!
[Documentation](http://anastruct.readthedocs.io)
## Questions
Got a question? Please ask on [gitter](https://gitter.im/anaStruct/lobby).
## Includes
* trusses :heavy_check_mark:
* beams :heavy_check_mark:
* moment lines :heavy_check_mark:
* axial force lines :heavy_check_mark:
* shear force lines :heavy_check_mark:
* displacement lines :heavy_check_mark:
* hinged supports :heavy_check_mark:
* fixed supports :heavy_check_mark:
* spring supports :heavy_check_mark:
* q-load in elements direction :heavy_check_mark:
* point loads in global x, y directions on nodes :heavy_check_mark:
* dead load :heavy_check_mark:
* q-loads in global y direction :heavy_check_mark:
* hinged elements :heavy_check_mark:
* rotational springs :heavy_check_mark:
* non-linear nodes :heavy_check_mark:
* geometrical non linearity :heavy_check_mark:
* load cases and load combinations :heavy_check_mark:
* generic type of section - rectangle and circle :heavy_check_mark:
* EU, US, UK steel section database :heavy_check_mark:
## Examples
```python
from anastruct import SystemElements
import numpy as np
ss = SystemElements()
element_type = 'truss'
# Create 2 towers
width = 6
span = 30
k = 5e3
# create triangles
y = np.arange(1, 10) * np.pi
x = np.cos(y) * width * 0.5
x -= x.min()
for length in [0, span]:
x_left_column = np.ones(y[::2].shape) * x.min() + length
x_right_column = np.ones(y[::2].shape[0] + 1) * x.max() + length
# add triangles
ss.add_element_grid(x + length, y, element_type=element_type)
# add vertical elements
ss.add_element_grid(x_left_column, y[::2], element_type=element_type)
ss.add_element_grid(x_right_column, np.r_[y[0], y[1::2], y[-1]], element_type=element_type)
ss.add_support_spring(
node_id=ss.find_node_id(vertex=[x_left_column[0], y[0]]),
translation=2,
k=k)
ss.add_support_spring(
node_id=ss.find_node_id(vertex=[x_right_column[0], y[0]]),
translation=2,
k=k)
# add top girder
ss.add_element_grid([0, width, span, span + width], np.ones(4) * y.max(), EI=10e3)
# Add stability elements at the bottom.
ss.add_truss_element([[0, y.min()], [width, y.min()]])
ss.add_truss_element([[span, y.min()], [span + width, y.min()]])
for el in ss.element_map.values():
# apply wind load on elements that are vertical
if np.isclose(np.sin(el.ai), 1):
ss.q_load(
q=1,
element_id=el.id,
direction='x'
)
ss.show_structure()
ss.solve()
ss.show_displacement(factor=2)
ss.show_bending_moment()
```
```python
from anastruct import SystemElements
ss = SystemElements(EA=15000, EI=5000)
# Add beams to the system.
ss.add_element(location=[0, 5])
ss.add_element(location=[[0, 5], [5, 5]])
ss.add_element(location=[[5, 5], [5, 0]])
# Add a fixed support at node 1.
ss.add_support_fixed(node_id=1)
# Add a rotational spring support at node 4.
ss.add_support_spring(node_id=4, translation=3, k=4000)
# Add loads.
ss.point_load(Fx=30, node_id=2)
ss.q_load(q=-10, element_id=2)
# Solve
ss.solve()
# Get visual results.
ss.show_structure()
ss.show_reaction_force()
ss.show_axial_force()
ss.show_shear_force()
ss.show_bending_moment()
ss.show_displacement()
```
### Real world use case.
[Non linear water accumulation analysis](https://ritchievink.com/blog/2017/08/23/a-nonlinear-water-accumulation-analysis-in-python/)
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"description": "# anaStruct 2D Frames and Trusses\n[](https://github.com/ritchie46/anaStruct/actions/workflows/test.yaml)\n[](http://anastruct.readthedocs.io/en/latest/?badge=latest)\n\nAnalyse 2D Frames and trusses for slender structures. Determine the bending moments, shear forces, axial forces and displacements.\n\n## Installation\n\nFor the actively developed version:\n```\n$ pip install git+https://github.com/ritchie46/anaStruct.git\n```\n\nOr for a release:\n```\n$ pip install anastruct\n```\n\n## Read the docs!\n\n[Documentation](http://anastruct.readthedocs.io)\n\n## Questions\n\nGot a question? Please ask on [gitter](https://gitter.im/anaStruct/lobby).\n\n## Includes\n\n* trusses :heavy_check_mark:\n* beams :heavy_check_mark:\n* moment lines :heavy_check_mark:\n* axial force lines :heavy_check_mark:\n* shear force lines :heavy_check_mark:\n* displacement lines :heavy_check_mark:\n* hinged supports :heavy_check_mark:\n* fixed supports :heavy_check_mark:\n* spring supports :heavy_check_mark:\n* q-load in elements direction :heavy_check_mark:\n* point loads in global x, y directions on nodes :heavy_check_mark:\n* dead load :heavy_check_mark:\n* q-loads in global y direction :heavy_check_mark:\n* hinged elements :heavy_check_mark:\n* rotational springs :heavy_check_mark:\n* non-linear nodes :heavy_check_mark:\n* geometrical non linearity :heavy_check_mark:\n* load cases and load combinations :heavy_check_mark:\n* generic type of section - rectangle and circle :heavy_check_mark:\n* EU, US, UK steel section database :heavy_check_mark:\n\n## Examples\n\n```python\nfrom anastruct import SystemElements\nimport numpy as np\n\nss = SystemElements()\nelement_type = 'truss'\n\n# Create 2 towers\nwidth = 6\nspan = 30\nk = 5e3\n\n# create triangles\ny = np.arange(1, 10) * np.pi\nx = np.cos(y) * width * 0.5\nx -= x.min()\n\nfor length in [0, span]:\n x_left_column = np.ones(y[::2].shape) * x.min() + length\n x_right_column = np.ones(y[::2].shape[0] + 1) * x.max() + length\n\n # add triangles\n ss.add_element_grid(x + length, y, element_type=element_type)\n # add vertical elements\n ss.add_element_grid(x_left_column, y[::2], element_type=element_type)\n ss.add_element_grid(x_right_column, np.r_[y[0], y[1::2], y[-1]], element_type=element_type)\n\n ss.add_support_spring(\n node_id=ss.find_node_id(vertex=[x_left_column[0], y[0]]),\n translation=2,\n k=k)\n ss.add_support_spring(\n node_id=ss.find_node_id(vertex=[x_right_column[0], y[0]]),\n translation=2,\n k=k)\n\n# add top girder\nss.add_element_grid([0, width, span, span + width], np.ones(4) * y.max(), EI=10e3)\n\n# Add stability elements at the bottom.\nss.add_truss_element([[0, y.min()], [width, y.min()]])\nss.add_truss_element([[span, y.min()], [span + width, y.min()]])\n\nfor el in ss.element_map.values():\n # apply wind load on elements that are vertical\n if np.isclose(np.sin(el.ai), 1):\n ss.q_load(\n q=1,\n element_id=el.id,\n direction='x'\n )\n\nss.show_structure()\nss.solve()\nss.show_displacement(factor=2)\nss.show_bending_moment()\n\n```\n\n\n\n\n\n\n\n\n```python\nfrom anastruct import SystemElements\n\nss = SystemElements(EA=15000, EI=5000)\n\n# Add beams to the system.\nss.add_element(location=[0, 5])\nss.add_element(location=[[0, 5], [5, 5]])\nss.add_element(location=[[5, 5], [5, 0]])\n\n# Add a fixed support at node 1.\nss.add_support_fixed(node_id=1)\n\n# Add a rotational spring support at node 4.\nss.add_support_spring(node_id=4, translation=3, k=4000)\n\n# Add loads.\nss.point_load(Fx=30, node_id=2)\nss.q_load(q=-10, element_id=2)\n\n# Solve\nss.solve()\n\n# Get visual results.\nss.show_structure()\nss.show_reaction_force()\nss.show_axial_force()\nss.show_shear_force()\nss.show_bending_moment()\nss.show_displacement()\n```\n\n\n### Real world use case.\n[Non linear water accumulation analysis](https://ritchievink.com/blog/2017/08/23/a-nonlinear-water-accumulation-analysis-in-python/)\n",
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